Showing 2024Show all
2 papers · 1 filter
math-ph2024
Semiclassical Limit of the Bogoliubov-de Gennes Equation
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
In this paper, we rewrite the time-dependent Bogoliubov$\unicode{x2013}$de Gennes equation in an appropriate semiclassical form and establish its semiclassical limit to a two-parti…
math.AP2024
Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson
Mikaela Iacobelli, Laurent Lafleche
In this paper we establish almost-optimal stability estimates in quantum optimal transport pseudometrics for the semiclassical limit of the Hartree dynamics to the Vlasov-Poisson e…